Topological groups and infinite Galois theory
Franz Halter‐Koch · 2022
Basic theory of topological groups, rings and vector spaces only using elementary topology. Sequential completeness. Inductive and projective limits. Profinite groups and infinite Galois theory with examples in algebraic number theory. Duality theory of locally compact abelian groups. Proof of Pontrjagin&s;s duality theorem in all relevant cases.